It could be a pituitary problem, in which the pituitary cranks out TSH, in spite of adequate T3/T4 levels, which, in turn, causes the thyroid to keep producing more hormones.
I don't know that you have to go to a teaching hospital, but I'd want her checked out thoroughly,
Seems like your granddaughters lads are 'odd'.
There are two common auto-immune thyroid diseases, Hashimoto's and Graves disease. However in those diseases TSH and T3/T4 tend in opposite directions.
In Graves anti-bodies stimulate the thyroid to produce excess T4/T3. The Pituitary responds by producing less TSH. T4/3 are high and TSH is low (usually very low).
In Hashimotoes the immune system attacks the thyroid and it slowly loses the ability to produce enough thyroid hormone. The pituitary responds by producing more TSH (Thyroid stimulating hormone). T4/T3 are low and TSH is high.
In your granddaughters case they are all a bit high. That's odd. Doesn't fit with the two common causes.
I don't think there is enough information yet to say why that is. If it were my kid, I's want her evaluated by a endocrinologist at a teaching hospital where they;re used to dealing with odd ball cases. Because really the odd lab results and the diagnosis of mild retardation, someone needs to do a careful look at all that.
Unfortunately, those are total T3 and total T4, not nearly as useful as FT3 and FT4. T3 and T4 include the amounts that are bound by protein and unavailable to cells.
Children's TSH tends to run higher than adult's. You might try calling the lab and asking for an age-adjusted range.
Besides being thin, does she have any other thyroid symptoms?
Has she been tested for thyroid antibodies? With all three high, I'd suggest both TPOab and TGab for Hashi's and TSI for Graves'.
sorry TSH is 8.41 normal is 0.50-4.50 so its high
T4 is 10.4 normal is 4.50 -10.0
T3 is 376 normal is 90-240